16 нояб. 2023 г. · As with ordinary categories, an object in a (infinity,1)-category is a zero object if it is both initial object and a terminal object. An ( ∞ , ... Definition · Constructions in stable ∞ \infty... · Properties

9 авг. 2006 г. · This paper is an expository account of the theory of stable infinity categories. We prove that the homotopy category of a stable infinity category is ...

A stable ∞-category admits finite limits and colimits. Examples: the derived category of an abelian category and the ∞-category of spectra are both stable.

The two fundamental examples of stable ∞-categories are the derived ∞-category D(A) of an abelian category. A (with homotopy category the classical derived ...

23 мая 2017 г. · While the definition of a stable ∞-category only uses fibers and cofibers, stable ∞-categories actually admit finite limits and colimits. ...

29 мая 2021 г. · One of the biggest advantages of stable ∞-categories compared to triangulated categories is that they work well in families. Stable infinity categories vs dg-categories - MathOverflow Proof that the homotopy category of a stable ... - MathOverflow references for models of stable infinity categories - MathOverflow What are _all_ of the exactness properties enjoyed by stable ... Другие результаты с сайта mathoverflow.net

16 янв. 2021 г. · The collection of spectra forms an (∞,1)-category Sp ( ∞ Grpd ) = Sp(\infty Grpd) = Spectra, which is in fact a stable (∞,1)-category.

A stable ∞-category admits finite limits and colimits, and a commutative square in which is a pullback square if and only if it is a pushout square.

This paper is an expository account of the theory of stable infinity categories. We prove that the homotopy category of a stable infinity category is ...

9 авг. 2006 г. · This paper is an expository account of the theory of stable infinity categories. We prove that the homotopy category of a stable infinity ...